Multivariate Rank Discriminant Classifier of Small Sample

Authors

  • Evelyn Nkiruka Okonkwo
  • Joseph Uchenna Okeke
  • Sidney I. Onyeagu

Keywords:

Data depth, Spatial or L1 depth, linear discriminant analysis, nonparametric discriminant analysis, Probability of misclassification (PMC)

Abstract

This article studied discriminant analysis procedure that is based on multivariate ranking with emphasis on Spatial or L1 depth classifier using Eviews and SPSS computer packages. The performance of the classifier is assessed using both simulated and real life data. The result of the study revealed that the classifier is optimal in classifying observations into one of the two pre-defined groups.

References

R. Jornsten. Clustering and classification based on the L1data depth. Journal of Multivariate Analysis, 90 (1), Pp 67-89, 2004.

W. F. Eddy. Ordering of multivariate data. In Computer Science and Statistics: The Interface (L. Billard, ed). North-Holland: Amsterdam. 1985, Pp 25-30.

R. Y. Liu. Data depth and multivariate rank tests. In L1-statistical analysis and related methods (Neuch tel, 1992). North-Holland: Amsterdam. 1992, Pp 279-294.

R. Y. Liu, J. M. Parelius, and K. Singh.

Y. Zuo, and R. Serfling.

K. Mosler. Multivariate dispersion, central regions and depth, volume 165 of Lecture Notes in Statistics. Springer-Verlag, Berlin. The lift zonoid approach. 2002.

P. C. Mahalanobis.

R. Y. Liu, and K. Singh.

J. Tukey. Address to international congress of mathematics. Vancouver. 1974.

R. Y. Liu.

K.Singh. A notion of majority depth. Technical Report. Department of Statistics, Rurtgers University. 1991.

D. Donoho. Breakdown properties of multivariate location estimators. PhD Quality paper. Department of Statistics, Harvard University. 1982.

Y. Vardi, and C. H. Zhang .

R. Hoberg

A. K. Ghosh, and P. Chaudhuri.

J. Hugg, R. Rafalin, K.Seyboth, and D. Souvaine. An experimental study of old and new depth measures. Springer-Verlag Lecture Notes in Computer Science, New York, Pp 51-64, 2006.

C. Croux, P. Filzmoser, and M. R.Oliveira.

D.D. Ekezie. A biometric study of oil palm (Elaeis guneensis Jacq) nursery characteristics and yield by the method of multivariate analysis, Ph.D seminar paper, Nnamdi Azikiwe University, Awka, Nigeria, 2010.

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Published

2015-02-25

How to Cite

Okonkwo, E. N., Okeke, J. U., & Onyeagu, S. I. (2015). Multivariate Rank Discriminant Classifier of Small Sample. International Journal of Sciences: Basic and Applied Research (IJSBAR), 20(2), 165–172. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/1774

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Articles